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Finding the Fourth Proportional to 102,708.39, 153,948.12 and 42,703.38

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Solution

The fourth proportional to 102,708.39, 153,948.12 and 42,703.38 is: 64,007.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,708.39 : 153,948.12 = 42,703.38 : x
  2. Step 2: Convert to fraction form
    102,708.39/153,948.12 = 42,703.38/x
  3. Step 3: Cross multiply
    102,708.39x = 153,948.12 × 42,703.38
  4. Step 4: Simplify right side
    102,708.39x = 6,574,105,068.65
  5. Step 5: Solve for x
    x = 6,574,105,068.65/102,708.39
  6. Step 6: Final answer
    x = 64,007.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.